3(3+(x-5))=4(4+(x-8))

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Solution for 3(3+(x-5))=4(4+(x-8)) equation: 


Simplifying
3(3 + (x + -5)) = 4(4 + (x + -8))

Reorder the terms:
3(3 + (-5 + x)) = 4(4 + (x + -8))

Remove parenthesis around (-5 + x)
3(3 + -5 + x) = 4(4 + (x + -8))

Combine like terms: 3 + -5 = -2
3(-2 + x) = 4(4 + (x + -8))
(-2 * 3 + x * 3) = 4(4 + (x + -8))
(-6 + 3x) = 4(4 + (x + -8))

Reorder the terms:
-6 + 3x = 4(4 + (-8 + x))

Remove parenthesis around (-8 + x)
-6 + 3x = 4(4 + -8 + x)

Combine like terms: 4 + -8 = -4
-6 + 3x = 4(-4 + x)
-6 + 3x = (-4 * 4 + x * 4)
-6 + 3x = (-16 + 4x)

Solving
-6 + 3x = -16 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-6 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = -16 + 0
-6 + -1x = -16

Add '6' to each side of the equation.
-6 + 6 + -1x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -16 + 6
-1x = -16 + 6

Combine like terms: -16 + 6 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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